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Case Studies in Linear and Nonlinear Modeling

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Pharmacokinetic-Pharmacodynamic Modeling and Simulation

Abstract

This chapter introduces a series of case studies that use linear and nonlinear regression techniques. Allometric scaling and dose proportionality are examined using simple linear regression techniques. Limited sampling and development of a dosing formula for carboplatin are developed using multiple linear regression. The pharmacokinetics of cocaine after intravenous, nasal, and inhalation are studied within the context of a compartmental model using nonlinear weighted least squares, as are the pharmacokinetics of a new chemical entity.

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References

  • Adolph EF. Quantitative relations in the physiological constitutions of mammals. Science 1949; 109: 579-585.

    Article  PubMed  CAS  Google Scholar 

  • Asai G, Ando Y, Saka H, Ando M, Sugiura S, Sakai S, Hasagawa Y, and Shimokata K. Estimation of the area under the concentration-time curve of carboplatin following irinotecan using a limited sampling model. European Journal of Clinical Pharmacology 1998; 54: 725-727.

    Article  PubMed  CAS  Google Scholar 

  • Bonate PL and Howard D. Prospective allometric scaling: does the emperor have clothes? Journal of Clinical Pharmacology 2000; 40: 335-340.

    Article  PubMed  CAS  Google Scholar 

  • Bonate PL, Swann A, and Silverman PB. A preliminary physiological based pharmacokinetic model for cocaine in the rat: model development and scale-up to humans. Journal of Pharmaceutical Sciences 1996; 85: 878-883.

    Article  PubMed  CAS  Google Scholar 

  • Boxenbaum H and Dilea C. First-time-in-human dose selection: allometric thoughts and perspectives. Journal of Clinical Pharmacology 1995; 35: 957-966.

    Article  PubMed  CAS  Google Scholar 

  • Chappell WR and Mordenti J. Extrapolation of toxicological and pharmacological data from animals to humans. In: Advances in Drug Research, 20 ed. (Ed. Testa B). Academic Press, New York, 1990, pp. 1-116.

    Google Scholar 

  • Cone E. Pharmacokinetics and pharmacodynamics of cocaine. Journal of Analytical Toxicology 1995; 19: 459-478.

    Article  PubMed  CAS  Google Scholar 

  • Gough K, Hutchison M, Keene O, Byrom B, Ellis S, Lacey L, and McKellar J. Assessment of dose proportionality: Report from the Statisticians in the Pharmaceutical Industry/Pharmacokinetics UK Joint Working Party. Drug Information Journal 1995; 29: 1039-1048.

    Google Scholar 

  • Horwich A, Dearnaley DP, Nicholls J, Jay G, Mason M, Harland S, Peckham MJ, and Hendry WF. Effectiveness of carboplatin, etoposide, and bleomycin combination chemotherapy in good-prognosis metastatic testicular nonseminomatous germ cell tumors. Journal of Clinical Oncology 1991; 9: 62-69.

    PubMed  CAS  Google Scholar 

  • Hummel J, McKendrick S, Brindley C, and French R. Exploratory assessment of dose proportionality: review of current approaches and proposal for a practical criterion. Pharmaceutical Statistics 2008.

    Google Scholar 

  • Jeffcoat RA, Perez-Reyes M, Hill JM, Sadler BM, and Cook CE. Cocaine disposition in humans after intravenous injection, nasal insufflation (snorting), or smoking. Drug Metabolism and Disposition 1989; 17: 153-159.

    PubMed  CAS  Google Scholar 

  • Mahmood I. Interspecies pharmacokinetic scaling: principles, applications, and limitations. In: Pharmacokinetics in Drug Development: Clinical Study Design and Analysis, (Ed. Bonate PL and Howard D). AAPS Press, Alexandria, VA, 2004, pp. 423-444.

    Google Scholar 

  • Mahmood I and Balian JD. Interspecies scaling: predicting clearance of drugs in humans. Three different approaches. Xenobiotica 1996; 26: 887-895.

    Article  PubMed  CAS  Google Scholar 

  • Mahmood I and Balian JD. The pharmacokinetic principles behind scaling from preclinical to Phase I protocols. Clinical Pharmacokinetics 1999; 36: 1-11.

    Article  PubMed  CAS  Google Scholar 

  • Moore MJ, Bunting P, Yuan S, and Theissen JJ. Development and validation of a limited sampling strategy for 5-fluorouracil given by bolus intravenous administration. Therapeutic Drug Monitoring 1993; 15: 394-399.

    Article  PubMed  CAS  Google Scholar 

  • Mordenti J. Man vs. beast: pharmacokinetic scaling in mammals. Journal of Pharmaceutical Sciences 1986; 75: 1028-1040.

    Article  PubMed  CAS  Google Scholar 

  • Mordenti J, Chen SA, Moore JA, Ferraiola B, and Green JD. Interspecies scaling of clearance and volume of distribution data for five therapeutic proteins. Pharmaceutical Research 1991; 8: 1351-1359.

    Article  PubMed  CAS  Google Scholar 

  • Newell DR, Pearson ADJ, Balmanno K, Price L, Wyllie RA, Keir M, Calvert AH, Lewis IJ, Pinkerton CR, Stevens MCG, and for the United Kingdom Children’s Cancer Study Group. Carboplatin pharmacokinetics in children: the development of a pediatric dosing formula. Journal of Clinical Oncology 1993; 11: 2314-2323.

    Google Scholar 

  • Ratain MJ, Robert J, and van der Vijgh WJF. Limited sampling models for doxorubicin pharmacokinetics. Journal of Clinical Oncology 1991; 9: 871-876.

    PubMed  CAS  Google Scholar 

  • Ritschel WA, Vachharajani NN, Johnson RD, and Hussain AS. The allometric approach for interspecies scaling of pharmacokinetic parameters. Comparative Biochemistry & Physiology 1992; 103C: 249-253.

    CAS  Google Scholar 

  • Smith BP, Vandenhende FR, DeSante KA, Farid NA, Welch PA, Callaghan JT, and Forgue ST. Confidence interval criteria for assessment of dose proportionality. Pharmaceutical Research 2000; 17: 1278-1283.

    Article  PubMed  CAS  Google Scholar 

  • van den Bongard HJGD, Mathot RAA, Beijnen JH, and Schellens JHM. Pharmacokinetically guided administration of chemotherapeutic agents. Clinical Pharmacokinetics 2000; 39: 345-367.

    Article  PubMed  Google Scholar 

  • van Warmerdan LJC, Bokkel Huinink WW, and Beijnen JH. Limited sampling strategies for anticancer agents. Journal of Cancer Research and Clinical Oncology 1994; 120: 427-433.

    Google Scholar 

  • Yin Y and Chen C. Optimizing first-time-in-human trial design for studying dose proportionality. Drug Information Journal 2001; 35: 1065-1078.

    Article  Google Scholar 

Recommended Reading

  • Chappell WR, Mordenti J. Extrapolation of toxicological and pharmacological data from animals to humans. In: Testa B, editor. Advances in Drug Research. New York: Academic Press, 1990, pp. 1-116.

    Google Scholar 

  • Gough K, Hutcheson M, Keene O, Byrom B, Ellis S, Lacey L et al. Assessment of dose proportionality: report from the Statisticians in the Pharmaceutical Industry/Pharmacokinetics UK Joint Working Party. Drug Information Journal 1995; 29: 1039-1048.

    Google Scholar 

  • Smith BP, Vandenhende FR, DeSante KA, Farid NA, Welch PA, Callaghan JT et al. Confidence interval criteria for assessment of dose proportionality. Pharmaceutical Research 2000; 20: 1278-1283.

    Article  Google Scholar 

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Bonate, P.L. (2011). Case Studies in Linear and Nonlinear Modeling. In: Pharmacokinetic-Pharmacodynamic Modeling and Simulation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9485-1_5

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